The Influence Index of Components in Uncertain Reliability Systems

It is natural to seek a measure for assessing the influence of individual component within a system. In this paper, we define the influence index of uncertain systems and introduce several key properties of this index. Furthermore, we investigate the influence indexes of specific types of uncertain reliability systems, including uncertain series, parallel, parallel-series, and series-parallel configurations. Some formulas are also derived to calculate the influence index of a component in uncertain Boolean systems.